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Finding the Fourth Proportional to 227,868, 314,484.57 and 137,269.71

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Solution

The fourth proportional to 227,868, 314,484.57 and 137,269.71 is: 189,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,868 : 314,484.57 = 137,269.71 : x
  2. Step 2: Convert to fraction form
    227,868/314,484.57 = 137,269.71/x
  3. Step 3: Cross multiply
    227,868x = 314,484.57 × 137,269.71
  4. Step 4: Simplify right side
    227,868x = 43,169,205,723.37
  5. Step 5: Solve for x
    x = 43,169,205,723.37/227,868
  6. Step 6: Final answer
    x = 189,448.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.